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Finding the Fourth Proportional to 7,767.60, 10,724.04 and 4,787.46

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Solution

The fourth proportional to 7,767.60, 10,724.04 and 4,787.46 is: 6,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.60 : 10,724.04 = 4,787.46 : x
  2. Step 2: Convert to fraction form
    7,767.60/10,724.04 = 4,787.46/x
  3. Step 3: Cross multiply
    7,767.60x = 10,724.04 × 4,787.46
  4. Step 4: Simplify right side
    7,767.60x = 51,340,912.54
  5. Step 5: Solve for x
    x = 51,340,912.54/7,767.60
  6. Step 6: Final answer
    x = 6,609.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.